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Speaker:
Henk Bruin
Zugehörigkeit:
U Wien\MPI
Datum:
Fre, 20/06/2014 - 14:00 - 15:00
Location:
MPIM Lecture Hall
Parent event:
Dynamics and Numbers Motivated by Bowen's theory of thermodynamic formalism of
subshifts of finite type, Hofbauer started to create symbolic models with
non-Hoelder potentials as simple examples exhibiting phase transitions.
Hofbauer's examples relate directly to the Pomeau-Manneville map, which
Baraviera-Leplaideur-Lopes related again to a particular
substitution-based renormalization operator. In this talk, I want to
report on joint work with Leplaideur how this scheme extends to
non-trivial substitutions (Thue-Morse and Fibonacci), and discuss the
importance and properties of the fixed points of the renormalization
operator, their stable leaves, and connections to renormalization theory
in one-dimensional dynamics.
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